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a) Determine the magnitudes, and senses of the direct and shear stresses which

a) Determine the magnitudes, and senses of the direct and shear stresses which

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question 1 The biaxial stress element of an isotropic and homogenous material is loaded as shown in figure 1 below. Y Oxz =185 MPa Ty = 3D 60 MPа 25° o =180 MPa yz Figure 1 (a) Determine the magnitudes, and senses of the direct and shear stresses which act on the inclined plane as shown in figure 1 using the First Principle method. (b) Using the standard formulae, determine for the element of stressed, homogeneous, isotropic material, shown in figure 1, the following: (i) The magnitudes of principal stresses and their associated planes relative to the x-axis for positive angles. The magnitudes of maximum shear stresses and their associated planes relative to the x-axis for positive angles. Magnitudes of direct and shear stresses acting on the inclined plane. (ii) (ii)
Transcribed Image Text:Question 1 The biaxial stress element of an isotropic and homogenous material is loaded as shown in figure 1 below. Y Oxz =185 MPa Ty = 3D 60 MPа 25° o =180 MPa yz Figure 1 (a) Determine the magnitudes, and senses of the direct and shear stresses which act on the inclined plane as shown in figure 1 using the First Principle method. (b) Using the standard formulae, determine for the element of stressed, homogeneous, isotropic material, shown in figure 1, the following: (i) The magnitudes of principal stresses and their associated planes relative to the x-axis for positive angles. The magnitudes of maximum shear stresses and their associated planes relative to the x-axis for positive angles. Magnitudes of direct and shear stresses acting on the inclined plane. (ii) (ii)
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